19900689600 has 336 divisors, whose sum is σ = 75419565696. Its totient is φ = 4540416000.

The previous prime is 19900689587. The next prime is 19900689607. The reversal of 19900689600 is 698600991.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 19900689600.

It is not an unprimeable number, because it can be changed into a prime (19900689607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886515 + ... + 908685.

Almost surely, 2^19900689600 is an apocalyptic number.

19900689600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19900689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37709782848).

19900689600 is an abundant number, since it is smaller than the sum of its proper divisors (55518876096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19900689600 is a wasteful number, since it uses less digits than its factorization.

19900689600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22224 (or 22209 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The spelling of 19900689600 in words is "nineteen billion, nine hundred million, six hundred eighty-nine thousand, six hundred".